Question

STATE WHETHER THE FOLLOWING STATEMENT IS TRUE OR FALSE. "*JUSTIFY YOUR ANSWER*"
If n is an odd natural number, then x^n+1 is exactly divisible by x+1.

Answer 1

Step-by-step explanation:

The statement is trye because when we take n as 1 and x as 2 then we get,

x^n+1

=2^1+1

=2+1

=3

And, it is exactly divisible by,

x+1

=2+1

=3.

Answer 2

Answer:

True

Step-by-step explanation:

Taking. n = 3 and x = 2

A.T.Q.

Taking x^n+1,

2^3+1 = 8+1 = 9

Now taking x+1,

2+1 = 3

3 is divisible by 9, therefore TRUE.

I hope it help. ☺